However, due to the subjective nature of the notion of fairness and the multiple interpretations of equity, there is no universal principle that is accepted as “the most fair” [1]}. The most usual strategy to incorporate fairness in resource allocation problems is to quantify the degree of fairness associated with any feasible action through a fairness measure, a function that maps the solution into a real number indicating its degree of equity. Therefore, different measures have been proposed in the literature in order to capture the notion of fairness. The most popular one is the max-min (or min-max) approach which assures that the most damaged agent in the share is as little damaged as possible [2]}, [3]}, [4]}, [5]}. The max-min ratio is given by the maximum ratio of any two user's resource allocation. Furthermore, some authors have incorporated fairness in decision problem through the envy, understood as the overall deviation in the gain (or cost) between all pairs of agents [6]}, [7]}, [8]}, [9]}, [10]}.
